Some issues in measuring and reporting solution quality of interactive multiple objective programming procedures

Issues in measuring and reporting solution quality are examined when value functions are used in computational experiments of interactive multiple objective programming procedures. They include value functions used, weights assigned to the objective functions in the value functions, the size of the efficient set, and the number of objective functions. The feasibility and existence of the ideal and nadir points are also discussed. Detailed examples are presented to demonstrate these issues. Neither the users nor, in fact, the researchers may discern these issues even though they have strong impacts on the reported solution qualities. Common practices in the computational experiments of interactive multiple objective programming procedures are reviewed.